The relationship eq:srequals2ew provides another example like the RT formula, relating a hard-to-compute information theoretic quantity to the area of a bulk surface.
As such, it has already given new insight into holographic CFTs, for example demonstrating the large amount of tripartite entanglement required [1]}, a feat that could not be accomplished with the RT formula alone [2]}. Also because of eq:srequals2ew, the reflected entropy provides a novel measure of the connectedness of the entanglement wedge. If the entanglement wedge jumps discontinuously as a function of some parameter, the reflected entropy jumps accordingly by an amount \(\mathcal {O}(1/G_N)\) . This jump is in sharp contrast with the large-\(N\)  phase transitions of entanglement entropy that arise in AdS/CFT, which are continuous.
